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Finding the Fourth Proportional to 209.32, 288.71 and 154.06

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Solution

The fourth proportional to 209.32, 288.71 and 154.06 is: 212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 288.71 = 154.06 : x
  2. Step 2: Convert to fraction form
    209.32/288.71 = 154.06/x
  3. Step 3: Cross multiply
    209.32x = 288.71 × 154.06
  4. Step 4: Simplify right side
    209.32x = 44,478.66
  5. Step 5: Solve for x
    x = 44,478.66/209.32
  6. Step 6: Final answer
    x = 212.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.